Question

Philip and Kevin are hoping to earn enough money to buy concert tickets for a show that costs $225 her concert tickets. Philip and Kevin have taken on jobs so they can each earn at least enough money to purchase the tickets?

Philip has a job doing yard work for 6 hours each weekend earning $8.75 for each full hour he works. Philip has already saved $45.
Kevin has a part-time job at a local store working 3 hours per day for 3 days a week. Kevin earns $7.50 per hour.He currently has $30 saved.
Philip and Kevin are disagreeing about who is going to be able to have enough money for the concert the fastest. They also need to decide what is the minimum number of weeks each of them must work to get enough money for the concert tickets.
help Philip and Kevin with their disagreement. be sure to show all of your mathematical thinking to help Philip and Kevin answer their question.
and make sure to do at least two equations for this question or two ways to solve the question?

Answer 1

Kevin is going to be able to have enough money for the concert the fastest

Philip needs at least 4 weeks

Kevin needs at least 3 weeks

Explanation:

Philip

• $8.75/hour * 6 hours/weekend * 1 weekend/week = $52.5/week

• $45 saved

Let's call x to the number of weeks Philip needs to reach $225.

52.5*x + 45 = 225

52.5*x = 225 - 45

x = 180/52.5

x = 3.43

He needs at least 4 weeks

Kevin

• 3 hours/day * $7.5/hour *3 days/week = $67.5/week

• $30 saved

Let's call y to the number of weeks Kevin needs to reach $225.

67.5*y + 30 = 225

67.5*y = 225 - 30

y = 195/67.5

y = 2.9

He needs at least 3 weeks